Few additional things to bear in mind.
1. Does the lathe have reverse rotation, if so what method of locking the chuck does it offer. ASR seems to be quite popular now, where a locking ring attaches on to a groove on the spindle. I use a grub screw into a recess that I drilled and tapped myself that I am perfectly happy with.
2. Can the lathe be bolted to the floor. If you are going to be turning large pieces of wood then you will want to bolt it down.
3. A low minimum speed is useful when turning and power sanding large items, especially natural edge items.
4. Dust protection should be considered mandatory. This can be a dust extractor to extract at source, or better would be a powered respirator, and best of all is both so your workshop doesn't become caked with dust.
5. A swivel head lathe does mean that you do not have to lean over the bed when turning the inside of an item so that is nice to have again for turning larger items. I guess you could turn in reverse rotation, my decades of muscle memory would have a fit I think doing that though.
As for turning tools, as you are just starting out perhaps you would be open to some of the new innovations, such as carbide tipped tools. Another thing to discuss with Simon Hope if you are to visit his showroom. Otherwise, as others have mentioned the Cryo tools are very good. How the handle feels in your hand is really important, that the diameter fits nicely so another thing to check in the showroom.
Finally, I have bought from all 4 companies and have good experiences with all of them.